A chemist has three different acid solutions. The first acid solution contains 15 % acid, the second contains 25 % and the third contains 65 % . They want to use all three solutions to obtain a mixture of 64 liters containing 50 % acid, using 3 times as much of the 65 % solution as the 25 % solution. How many liters of each solution should be used? The chemist should use liters of 15 % solution, liters of 25 % solution, and liters of 65 % solution.

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter4: Systems Of Linear Equations
Section4.3: Solve Mixture Applications With Systems Of Equations
Problem 4.54TI: Translate to a system of equations and solve: Anatole needs to make 250 milliliters of a 25%...
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A chemist has three different acid solutions. The first acid solution contains 15 % acid, the second
contains 25 % and the third contains 65 % . They want to use all three solutions to obtain a mixture of 64
liters containing 50 % acid, using 3 times as much of the 65 % solution as the 25 % solution. How many
liters of each solution should be used?
The chemist should use
liters of 15 % solution,
liters of 25 % solution,
and
liters of 65 % solution.
Transcribed Image Text:A chemist has three different acid solutions. The first acid solution contains 15 % acid, the second contains 25 % and the third contains 65 % . They want to use all three solutions to obtain a mixture of 64 liters containing 50 % acid, using 3 times as much of the 65 % solution as the 25 % solution. How many liters of each solution should be used? The chemist should use liters of 15 % solution, liters of 25 % solution, and liters of 65 % solution.
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